What is the Least Common Multiple of 15509 and 15522?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 15509 and 15522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15509 and 15522, than apply into the LCM equation.

GCF(15509,15522) = 13
LCM(15509,15522) = ( 15509 × 15522) / 13
LCM(15509,15522) = 240730698 / 13
LCM(15509,15522) = 18517746

Least Common Multiple (LCM) of 15509 and 15522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15509 and 15522. First we will calculate the prime factors of 15509 and 15522.

Prime Factorization of 15509

Prime Factorization of 15522

Now multiplying the highest exponent prime factors to calculate the LCM of 15509 and 15522.

LCM(15509,15522) = 13¹ × 1193¹ × 2¹ × 3¹ × 199¹
LCM(15509,15522) = 18517746